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Quiz · Calculus & Advanced Mathematics

How Fast Is It Changing? Derivatives & Rates of Change

The derivative measures how fast something changes: speed, growth, the steepness of a curve. Differentiate powers, trig and exponential functions, use the product and chain rules, find turning points and connect it all to motion.

Questions
15
Difficulty
Hard
Time
~8min
Per question
30sec

What it covers

Calculus & Advanced Mathematics

A topic in Mathematics.

The mathematics of change: limits, derivatives and integrals, from the gradient of a curve to the area beneath it.

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Mathematics · Calculus & Advanced Mathematics

Approaching Infinity: Limits and Continuity

What happens as x gets closer and closer to a value, or grows without end? Limits are the foundation of calculus. Evaluate limits, cancel tricky fractions, meet the number e and spot where graphs break.

Hard difficulty15 questions~8 min
+150 XPPlay

Mathematics · Calculus & Advanced Mathematics

Area Under the Curve: The Integrals Challenge

Integration adds up infinitely many thin slices to find areas, volumes and totals. Integrate powers and common functions, evaluate definite integrals, find shaded areas on graphs and discover how integration undoes differentiation.

Hard difficulty15 questions~8 min
+150 XPPlay